Factor 4x^3+8x^2-96x

Problem

4*x3+8*x2−96*x

Solution

1. Identify the greatest common factor by looking at the coefficients and the variables in each term.

2. Factor out the GCF of 4*x from the entire expression.

4*x*(x2+2*x−24)

3. Identify two numbers that multiply to −24 and add to 2

4. Determine the factors of the quadratic expression x2+2*x−24 using the numbers 6 and −4

(x+6)*(x−4)

5. Combine all factors to write the final factored form of the original expression.

Final Answer

4*x3+8*x2−96*x=4*x*(x+6)*(x−4)

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